{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-02-18T09:29:33.425045Z",
     "start_time": "2025-02-18T09:29:33.422305Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-18T09:29:33.430503Z",
     "start_time": "2025-02-18T09:29:33.426808Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x=np.arange(0,12).reshape(3,4)\n",
    "y=np.array([True,False,True])\n",
    "print(y)\n",
    "print(x)\n",
    "x[y,1]\n",
    "print(x.shape)"
   ],
   "id": "1c18e9f259ccf240",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ True False  True]\n",
      "[[ 0  1  2  3]\n",
      " [ 4  5  6  7]\n",
      " [ 8  9 10 11]]\n",
      "(3, 4)\n"
     ]
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-18T09:29:33.442209Z",
     "start_time": "2025-02-18T09:29:33.430503Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#x是特征，y是标签\n",
    "x, y = datasets.make_moons(n_samples=50000, noise=0.3, random_state=42)\n",
    "print(x.shape)\n",
    "print(y.shape)\n",
    "print(np.unique(y))"
   ],
   "id": "e2848e1967444a53",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(50000, 2)\n",
      "(50000,)\n",
      "[0 1]\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-18T09:29:33.695067Z",
     "start_time": "2025-02-18T09:29:33.442209Z"
    }
   },
   "cell_type": "code",
   "source": [
    "\n",
    "plt.scatter(x[y == 0, 0], x[y == 0, 1])  #拿到特征中标签为0的第0列，拿到标签为0的第一列\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1]) #拿到特征中标签为1的第0列，拿到标签为1的第一列\n",
    "plt.legend(['0', '1'])\n",
    "plt.show()  #图形的点颜色是自动的"
   ],
   "id": "b127cc71d080db44",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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